Combinatorial arguments in computing higher derivatives of inverses

Date of Publication

2005

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Jose Tristan F. Reyes

Defense Panel Chair

Ponsones, Rigor B.

Defense Panel Member

Mark Anthony A. Garcia
Frumencio F. Co

Abstract/Summary

This thesis is based on the article Combinatorics of Higher Derivatives of Inverses, written by Warren P. Johnson which was published on the March 2002 issue of American Mathematical Monthly. There are a lot of ways or formulas on how to compute higher derivatives of inverses (e.g. Lagrange inversion formula, etc.). This study presents the problem of finding higher derivatives of inverses using some basic concepts of Combinatorics.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU15414

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

v, 40 leaves : ill.

Keywords

Combinatorial analysis

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